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Finding the Fourth Proportional to 2,680.11, 4,020.12 and 732.24

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Solution

The fourth proportional to 2,680.11, 4,020.12 and 732.24 is: 1,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.11 : 4,020.12 = 732.24 : x
  2. Step 2: Convert to fraction form
    2,680.11/4,020.12 = 732.24/x
  3. Step 3: Cross multiply
    2,680.11x = 4,020.12 × 732.24
  4. Step 4: Simplify right side
    2,680.11x = 2,943,692.67
  5. Step 5: Solve for x
    x = 2,943,692.67/2,680.11
  6. Step 6: Final answer
    x = 1,098.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.